Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×D₇

Direct product G=N×Q with N=C₅ and Q=C₄×D₇

		d	ρ	Label	ID
D₇×C₂₀		140	2	D7xC20	280,15

Semidirect products G=N:Q with N=C₅ and Q=C₄×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×D₇) = D₇×F₅	φ: C₄×D₇/D₇ → C₄ ⊆ Aut C₅	35	8+	C5:(C4xD7)	280,32
C₅⋊₂(C₄×D₇) = D₇₀.C₂	φ: C₄×D₇/Dic₇ → C₂ ⊆ Aut C₅	140	4+	C5:2(C4xD7)	280,9
C₅⋊₃(C₄×D₇) = C₄×D₃₅	φ: C₄×D₇/C₂₈ → C₂ ⊆ Aut C₅	140	2	C5:3(C4xD7)	280,25
C₅⋊₄(C₄×D₇) = D₇×Dic₅	φ: C₄×D₇/D₁₄ → C₂ ⊆ Aut C₅	140	4-	C5:4(C4xD7)	280,7

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